SHREDINGER OPERATORI DISKRET SPEKTRINING XOS QIYMATLARI HAQIDA
Keywords:
ishda ixtiyoriy o‘lchamli panjarada qo‘shni tugunlarda ta’sirlashuvchi ikkita fermionli sistema gamiltonianiga mos ikki zarrachali diskret Shredinger operatori qaralganAbstract
ishda - o‘lchamli potensialli ikkita bir xil zarrachali (bozon) sistema panjarada juft-jufti bilan kontakt ta’sirlashuvchi gamiltonianiga mos ikki zarrachali diskret Shredinger operatori qaralgan. Ushbu operator xos qiymati uchun muhim spektr tubidagi yoyilmalar olingan.
References
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С.Н Лакаев. Об эффекте Ефимова в системе трёх одинаковых частиц. Функ. анализ и его пр. T. 27. Vip. 3. 15-28. (1993).
S.N. Lakaev, A.M. Khalkhuzhaev. The number of eigenvalues of the twoparticle discrete Schroedinger Operator, Theoret.and Math. Physics, 158 (2): 220-231 (2009).
M. Reed and B. Simon: Methods of modern mathematical physics. IV: Analysis of operators. Academic Press, N.Y., 1978.
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